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Finding the Third Proportional to 189,392,539.50 and 406,980,996.75

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Solution

The third proportional to 189,392,539.50 and 406,980,996.75 is: 874,551,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,392,539.50 : 406,980,996.75 = 406,980,996.75 : x
  2. Step 2: Convert to fraction form
    189,392,539.50/406,980,996.75 = 406,980,996.75/x
  3. Step 3: Cross multiply
    189,392,539.50x = 406,980,996.75 × 406,980,996.75
  4. Step 4: Simplify right side
    189,392,539.50x = 165,633,531,715,623,520
  5. Step 5: Solve for x
    x = 165,633,531,715,623,520/189,392,539.50
  6. Step 6: Final answer
    x = 874,551,511.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.